Question

To calculate the volume of the cone, the height is still needed. If the cone has a lateral surface with a length of 13 units, what is the height of the cone?

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

The formula for volume of the cone is :

$V=\frac{1}{3}\ \pi r^2h$

Please refer the diagram I have attached.

There is a right angle triangle formed.

Using Pythagorean theorem,

$l^2=h^2+r^2$

$13^2=h^2 + r^2$

$h^2=169-r^2$

taking square root on both sides,

$h=\sqrt{169-r^2}$

This is the answer h.

Hope it will help :)